Working directly from definition, prove that if , and , are se- quences of complex numbers with lim = 4+3i, and lim₁=4-3i, 8-900 then lim = 25. (You may use the fact that convergent complex se- 84x quences are bounded.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 64E
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Working directly from definition, prove that if n and wn are se-
quences of complex numbers with
lim n = 4 + 3i, and
n→∞
lim Wn=
n→∞
4-3i,
then lim nwn = 25. (You may use the fact that convergent complex se-
n→∞
quences are bounded.)
Transcribed Image Text:Working directly from definition, prove that if n and wn are se- quences of complex numbers with lim n = 4 + 3i, and n→∞ lim Wn= n→∞ 4-3i, then lim nwn = 25. (You may use the fact that convergent complex se- n→∞ quences are bounded.)
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